the
complete question in the attached figure
<span>1. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 3 is 120 degrees, find the measure of angle 7.
</span>∡3=∡7------------- > <span>corresponding angles
the answer is </span>
∡7=120 degrees
<span>2. in the diagram below , lines a and b are parallel and cut by traversal, t of angle 2 is 50 degrees, find the measure of angle 8.
</span>∡2=∡8------------- > <span>alternate exterior angles
</span>
the answer is ∡8=50 degrees
<span>3. In the diagram below , lines a and b are parallel and cut by traversal, t of angle 6 is 50 degrees, find the measure of angle 4.
</span>∡6=∡4------------- > <span>alternate interior angles
</span>
the answer is ∡4=50 degrees
Given that the area of the sector is given by:
A=3.142r² S/360
where:
r is the radius
S is the angle measure of the sector
If Mia solved the equation for S, the equations that she wrote would be found as follows;
From A=3.142r² S/360
making S the subject by first dividing both sides by 3.142r^2 we shall have:
A/3.142r²=S/360
next we multiply both sides by 360
360×A/3.142r²=S/360×360
this will give us
(360A)/(3.142r²)=S
therefore the equation that Mia will get is:
S=(360A)/(3.142r²)
For the answer to the question above,
The simple interest formula is I = P * r * t
P is the principal (2,000)
r is the interest rate (7% or 0.07)
t is the time (5)
2000 * 0.07 * 5 = 700
$700.00 is the interest
Joe has to pay $700.00 in interest.
I hope this helps
Answer:
Gallons of punch used = 4.94 gallons
Step-by-step explanation:
Given that:
Liters of punch purchased = 25 liters
Liters of punch left over = 6 liters
Liters of punch used = 25 - 6 = 19 liters
According to the given statement;
1 liter = 0.26 gallons
19 liters = 0.26*19 gallons
19 liters = 4.94 gallons
Hence,
Gallons of punch used = 4.94 gallons
